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Finding the Third Proportional to 71,127 and 95,442.75

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Solution

The third proportional to 71,127 and 95,442.75 is: 128,071.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,127 : 95,442.75 = 95,442.75 : x
  2. Step 2: Convert to fraction form
    71,127/95,442.75 = 95,442.75/x
  3. Step 3: Cross multiply
    71,127x = 95,442.75 × 95,442.75
  4. Step 4: Simplify right side
    71,127x = 9,109,318,527.56
  5. Step 5: Solve for x
    x = 9,109,318,527.56/71,127
  6. Step 6: Final answer
    x = 128,071.18

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.